Entire blow-up solutions for a quasilinear p-Laplacian Schrödinger equation with a non-square diffusion term

Zhang, Xinguang; Liu, Lishan; Wu, Yong Hong; Cui, Y.

doi:10.1016/j.aml.2017.05.010

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Authors

Zhang, Xinguang

Liu, Lishan

Wu, Yong Hong

Cui, Y.

Date

2017

Type

Journal Article

Metadata

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Citation

Zhang, X. and Liu, L. and Wu, Y.H. and Cui, Y. 2017. Entire blow-up solutions for a quasilinear p-Laplacian Schrödinger equation with a non-square diffusion term. Applied Mathematics Letters. 74: pp. 85-93.

Source Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2017.05.010

ISSN

0893-9659

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/54837

Collection

Curtin Research Publications

Abstract

In this paper, we study the entire blow-up solutions for a quasilinear p-Laplacian Schrödinger elliptic equation with a non-square diffusion term. By using the dual approach and some new iterative techniques, the difficulty due to the non-square diffusion term and the p-Laplacian operator is overcome and the nonexistence and existence of entire blow-up solutions are established.